Ikeda Attractor

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration uses the map attributed to Ikeda: , with . An orbit of iterates of the map is plotted using the locator object as the initial point. Dragging the locator or clicking for a new initial point shows almost no change: all orbits converge to the same attractor. The map parameters , , , and can be chosen using the sliders or a random set can be launched, generating a new attractor.

Contributed by: Erik Mahieu (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The Ikeda map function is taken from Chaotic Modeling and Simulation by C. Skiadas.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send